Pith Number

pith:CHOSICR6

pith:2015:CHOSICR63EVX77AUGBVGSGEFKS

not attested not anchored not stored refs pending

Minimum Riesz energy problems for a condenser with "touching plates"

D. Hardin, E.B. Saff, N. Zorii, P.D. Dragnev

arxiv:1504.03805 v1 · 2015-04-15 · math.CA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHOSICR63EVX77AUGBVGSGEFKS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:18:42.021753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11dd240a3ed92b7ffc14306a69188554b4cd03ced98ef2f9e6bf12b6c9f77394

Aliases

arxiv: 1504.03805 · arxiv_version: 1504.03805v1 · doi: 10.48550/arxiv.1504.03805 · pith_short_12: CHOSICR63EVX · pith_short_16: CHOSICR63EVX77AU · pith_short_8: CHOSICR6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CHOSICR63EVX77AUGBVGSGEFKS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 11dd240a3ed92b7ffc14306a69188554b4cd03ced98ef2f9e6bf12b6c9f77394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e0c0eca7b42755be619ee87a462fc86808b458c5f49ae81ce39f7ce3edf8ba2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-15T07:28:58Z",
    "title_canon_sha256": "9b48f45f0e06882a30aa525a7d0565b56000390f182068e19bc357499f049e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03805",
    "kind": "arxiv",
    "version": 1
  }
}